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131914960 = 2456724611
BaseRepresentation
bin1111101110011…
…01110011010000
3100012012222022021
413313031303100
5232232234320
621031221224
73161154502
oct767156320
9305188267
10131914960
116850a731
1238217814
13214392b8
141373bd72
15b8aadaa
hex7dcdcd0

131914960 has 40 divisors (see below), whose sum is σ = 311292576. Its totient is φ = 51976320.

The previous prime is 131914949. The next prime is 131915023. The reversal of 131914960 is 69419131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6946 + ... + 17665.

Almost surely, 2131914960 is an apocalyptic number.

131914960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131914960 is an abundant number, since it is smaller than the sum of its proper divisors (179377616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131914960 is a wasteful number, since it uses less digits than its factorization.

131914960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24691 (or 24685 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 131914960 is about 11485.4238058506. The cubic root of 131914960 is about 509.0549717211.

The spelling of 131914960 in words is "one hundred thirty-one million, nine hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 24611 49222 98444 123055 196888 246110 393776 492220 984440 1648937 1968880 3297874 6595748 8244685 13191496 16489370 26382992 32978740 65957480 131914960